GCF of 4127/365, 2870/4015
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4127/365, 2870/4015 i.e 1/4015 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4127/365, 2870/4015.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
What is the GCF of 4127/365,2870/4015?
Given fractions are 4127/365,2870/4015
To find the GCF of fractions, we have to find the GCF of numerator numbers and LCM of denominator numbers. Its formula is given by
GCF of Fraction = Greatest Common Factor of Numerator/Least Common Multiple of Denominators
In the fractions 4127/365,2870/4015, numerators are 4127,2870
Denominators are 365,4015
The GCF of 4127,2870 is 1 .
LCM of 365,4015 is 4015.
The greatest common factor of 4127/365,2870/4015 = [GCF of 4127,2870]/[LCM of 365,4015]= 1/4015
Therefore, the GCF of 4127/365,2870/4015 is 1/4015.
To find the highest common factor of 4127,2870, we have to find the factors of both numbers and list the highest common factor.
The factors of 4127 are 1, 4127
The factors of 2870 are 1, 2, 5, 7, 10, 14, 35, 41, 70, 82, 205, 287, 410, 574, 1435, 2870
The HCF of 4127,2870 is 1.
Lets's calculate GCF of 4127,2870
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 4127,2870 By Matching Biggest Common Factor Method
Now, list down the factors of 4127
:1,4127
Now, list down the factors of 2870
:1,2,5,7,10,14,35,41,70,82,205,287,410,574,1435,2870
Greatest Common Factor
We found the factors 4127,2870 . The biggest common factor number is the GCF number.
So the greatest common factor 4127,2870 is 1.
Lets's calculate LCM of 365,4015
| 5 | 365, 4015 |
| 73 | 73, 803 |
| 1, 11 |
∴ So the LCM of the given numbers is 5 x 73 x 1 x 11 = 4015
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/4015
Therefore, the GCF of Fractions 4127/365,2870/4015 is 1/4015
Least Common Multiple of 365,4015 with GCF Formula
The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).
We need to calculate greatest common factor of 365,4015 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(365,4015) = 365
common factors(in case of two or more numbers have common factors) = 1
GCF(365,4015) x common factors =365 x 1 = 365
LCM(365,4015) = ( 365 × 4015 ) / 365
LCM(365,4015) = 1465475 / 365
LCM(365,4015) = 4015
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FAQs on GCF of Fractions of 4127/365, 2870/4015
1. What is the HCF of 4127,2870?
The HCF of 4127,2870 is 1
2. What is the GCF of a fraction?
The GCF of a fraction is defined as the greatest fraction that divides exactly into 2 or more fractions.
3. How to find GCF in Fractions?
Answer: GCF of fractions can be found using the simple formula GCF of Fractions = GCF of Numerators/LCM of Denominators.
4. What is the GCF of Fractions for 4127/365, 2870/4015?
Answer: GCF of Numerators as per given numbers 4127/365, 2870/4015 is
GCF of Numerators i.e. for 4127,2870 is 1
LCM of denominators i.e. for 365,4015 is 4015.
Thus, GCF of Fractions is 1/4015.Finally, GCF of Fractions for 4127/365, 2870/4015 is 1/4015.